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19 April, 01:09

The half life of radium 226 is 1602 years. if you have 500 grams of radium today how many grams would have been present 9612 years ago?

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  1. 19 April, 04:18
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    Half life is the time taken by a radio active isotope to reduce by half of its original amount. Radium-226 has a half life of 1602 years meaning that it would take 1602 years for a mass of radium to reduce by half.

    Number of half lives in 9612 years = 9612/1602 = 6 half lives

    New mass = Original mass x (1/2) n where n is the number of half lives.

    Therefore, New mass = 500 x (1/2) ∧6

    = 500 x 0.015625

    = 7.8125 g

    Hence the mass of radium after 9612 years will be 7.8125 grams.
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